Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 2564359586] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2380 geometric_solution 5.74753719 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160899688783 0.935212023531 0 4 2 4 0132 0132 3201 2310 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427647582753 0.588743437995 1 0 0 5 2310 0132 3120 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160899688783 0.935212023531 5 6 0 4 0321 0132 0132 0213 0 0 0 0 0 1 -1 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.752143334789 1.561985914490 1 1 5 3 3201 0132 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.277769930815 1.663022079669 3 6 2 4 0321 3201 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.752143334789 1.561985914490 6 3 5 6 3201 0132 2310 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277293652065 0.588043931858 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_1001_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 16955/1323*c_1001_6^4 + 14576/441*c_1001_6^3 + 1115/21*c_1001_6^2 + 55396/1323*c_1001_6 - 1903/1323, c_0011_0 - 1, c_0011_3 - 80/63*c_1001_6^4 - 41/21*c_1001_6^3 - 4*c_1001_6^2 - 64/63*c_1001_6 + 4/63, c_0101_0 - 130/189*c_1001_6^4 - 106/63*c_1001_6^3 - 7/3*c_1001_6^2 - 230/189*c_1001_6 + 38/189, c_0101_1 - 20/63*c_1001_6^4 + 16/21*c_1001_6^3 + c_1001_6^2 + 173/63*c_1001_6 + 1/63, c_0101_2 + 130/189*c_1001_6^4 + 106/63*c_1001_6^3 + 7/3*c_1001_6^2 + 230/189*c_1001_6 - 38/189, c_0101_6 - 95/189*c_1001_6^4 - 29/63*c_1001_6^3 - 2/3*c_1001_6^2 + 239/189*c_1001_6 + 115/189, c_1001_6^5 + 8/5*c_1001_6^4 + 3*c_1001_6^3 + 4/5*c_1001_6^2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB